// Copyright Contributors to the OpenVDB Project
// SPDX-License-Identifier: MPL-2.0

#include "QuantizedUnitVec.h"

namespace openvdb {
OPENVDB_USE_VERSION_NAMESPACE
namespace OPENVDB_VERSION_NAME {
namespace math {

// The table below is generated as follows:
//
// uint16_t xbits, ybits;
// double x, y, z, w;
// for (uint16_t b = 0; b < 8192; ++b) {
//     xbits = uint16_t((b & MASK_XSLOT) >> 7);
//     ybits = b & MASK_YSLOT;
//     if ((xbits + ybits) > 126) {
//         xbits = uint16_t(127 - xbits);
//         ybits = uint16_t(127 - ybits);
//     }
//     x = double(xbits);
//     y = double(ybits);
//     z = double(126 - xbits - ybits);
//     w = 1.0 / std::sqrt(x*x + y*y + z*z);
//     sNormalizationWeights[b] = float(w);
// }

float QuantizedUnitVec::sNormalizationWeights[8192] = {
    0.007936508395f, 0.007999744266f, 0.008063467219f, 0.008127664216f,
    0.008192319423f, 0.008257416077f, 0.008322936483f, 0.008388860151f,
    0.008455166593f, 0.008521833457f, 0.008588834666f, 0.008656143211f,
    0.008723732084f, 0.00879156962f, 0.008859624155f, 0.008927859366f,
    0.008996240795f, 0.009064726532f, 0.009133277461f, 0.009201847948f,
    0.00927039329f, 0.009338863194f, 0.009407208301f, 0.009475374594f,
    0.009543305263f, 0.009610942565f, 0.009678225033f, 0.009745089337f,
    0.009811468422f, 0.009877296165f, 0.009942499921f, 0.01000700705f,
    0.01007074397f, 0.01013363153f, 0.01019559242f, 0.01025654469f,
    0.01031640731f, 0.01037509646f, 0.01043252647f, 0.01048861258f,
    0.01054326911f, 0.01059640758f, 0.01064794231f, 0.01069778763f,
    0.01074585691f, 0.01079206541f, 0.01083632838f, 0.01087856572f,
    0.01091869641f, 0.01095664315f, 0.01099232957f, 0.01102568675f,
    0.01105664484f, 0.01108513959f, 0.01111111138f, 0.01113450434f,
    0.01115526911f, 0.01117335912f, 0.01118873432f, 0.01120136213f,
    0.01121121366f, 0.01121826563f, 0.01122250315f, 0.0112239169f,
    0.01122250315f, 0.01121826563f, 0.01121121366f, 0.01120136213f,
    0.01118873432f, 0.01117335912f, 0.01115526911f, 0.01113450434f,
    0.01111111138f, 0.01108513959f, 0.01105664484f, 0.01102568675f,
    0.01099232957f, 0.01095664315f, 0.01091869641f, 0.01087856572f,
    0.01083632838f, 0.01079206541f, 0.01074585691f, 0.01069778763f,
    0.01064794231f, 0.01059640758f, 0.01054326911f, 0.01048861258f,
    0.01043252647f, 0.01037509646f, 0.01031640731f, 0.01025654469f,
    0.01019559242f, 0.01013363153f, 0.01007074397f, 0.01000700705f,
    0.009942499921f, 0.009877296165f, 0.009811468422f, 0.009745089337f,
    0.009678225033f, 0.009610942565f, 0.009543305263f, 0.009475374594f,
    0.009407208301f, 0.009338863194f, 0.00927039329f, 0.009201847948f,
    0.009133277461f, 0.009064726532f, 0.008996240795f, 0.008927859366f,
    0.008859624155f, 0.00879156962f, 0.008723732084f, 0.008656143211f,
    0.008588834666f, 0.008521833457f, 0.008455166593f, 0.008388860151f,
    0.008322936483f, 0.008257416077f, 0.008192319423f, 0.008127664216f,
    0.008063467219f, 0.007999744266f, 0.007936508395f, 0.007873771712f,
    0.007999744266f, 0.008063991554f, 0.008128738031f, 0.008193968795f,
    0.008259668946f, 0.008325820789f, 0.008392404765f, 0.008459401317f,
    0.008526788093f, 0.00859454181f, 0.008662636392f, 0.008731043898f,
    0.008799735457f, 0.008868678473f, 0.008937839419f, 0.009007181972f,
    0.00907666795f, 0.009146256372f, 0.009215905331f, 0.009285567328f,
    0.009355195798f, 0.009424740449f, 0.009494146332f, 0.009563359432f,
    0.009632320143f, 0.009700968862f, 0.009769240394f, 0.00983707048f,
    0.00990438927f, 0.009971125983f, 0.01003720704f, 0.01010255609f,
    0.01016709674f, 0.01023074798f, 0.01029342785f, 0.01035505254f,
    0.01041553635f, 0.01047479361f, 0.01053273678f, 0.01058927551f,
    0.01064432319f, 0.01069778763f, 0.01074958127f, 0.01079961471f,
    0.01084779948f, 0.01089404803f, 0.01093827467f, 0.0109803956f,
    0.01102032885f, 0.01105799619f, 0.01109332126f, 0.0111262314f,
    0.01115665678f, 0.01118453499f, 0.01120980456f, 0.01123241056f,
    0.01125230361f, 0.01126943901f, 0.01128377859f, 0.01129528973f,
    0.01130394638f, 0.01130972803f, 0.01131262258f, 0.01131262258f,
    0.01130972803f, 0.01130394638f, 0.01129528973f, 0.01128377859f,
    0.01126943901f, 0.01125230361f, 0.01123241056f, 0.01120980456f,
    0.01118453499f, 0.01115665678f, 0.0111262314f, 0.01109332126f,
    0.01105799619f, 0.01102032885f, 0.0109803956f, 0.01093827467f,
    0.01089404803f, 0.01084779948f, 0.01079961471f, 0.01074958127f,
    0.01069778763f, 0.01064432319f, 0.01058927551f, 0.01053273678f,
    0.01047479361f, 0.01041553635f, 0.01035505254f, 0.01029342785f,
    0.01023074798f, 0.01016709674f, 0.01010255609f, 0.01003720704f,
    0.009971125983f, 0.00990438927f, 0.00983707048f, 0.009769240394f,
    0.009700968862f, 0.009632320143f, 0.009563359432f, 0.009494146332f,
    0.009424740449f, 0.009355195798f, 0.009285567328f, 0.009215905331f,
    0.009146256372f, 0.00907666795f, 0.009007181972f, 0.008937839419f,
    0.008868678473f, 0.008799735457f, 0.008731043898f, 0.008662636392f,
    0.00859454181f, 0.008526788093f, 0.008459401317f, 0.008392404765f,
    0.008325820789f, 0.008259668946f, 0.008193968795f, 0.008128738031f,
    0.008063991554f, 0.007999744266f, 0.007936008275f, 0.007936508395f,
    0.008063467219f, 0.008128738031f, 0.008194519207f, 0.008260795847f,
    0.008327552117f, 0.008394770324f, 0.008462429978f, 0.008530510589f,
    0.008598989807f, 0.008667841554f, 0.008737040684f, 0.008806557395f,
    0.008876360953f, 0.008946419694f, 0.009016696364f, 0.009087154642f,
    0.009157754481f, 0.009228453971f, 0.009299207479f, 0.009369968437f,
    0.009440686554f, 0.009511308745f, 0.009581780061f, 0.00965204183f,
    0.009722034447f, 0.009791694582f, 0.009860955179f, 0.009929747321f,
    0.009998000227f, 0.01006564032f, 0.01013259124f, 0.01019877382f,
    0.01026410609f, 0.01032850612f, 0.01039188914f, 0.01045416761f,
    0.01051525306f, 0.01057505608f, 0.01063348539f, 0.01069044974f,
    0.01074585691f, 0.01079961471f, 0.01085163094f, 0.0109018134f,
    0.01095007174f, 0.01099631656f, 0.01104046032f, 0.0110824164f,
    0.01112210099f, 0.01115943585f, 0.01119434182f, 0.01122674625f,
    0.01125658024f, 0.01128377859f, 0.01130828168f, 0.01133003552f,
    0.01134899072f, 0.01136510447f, 0.01137833856f, 0.01138866507f,
    0.0113960579f, 0.01140050031f, 0.01140198205f, 0.01140050031f,
    0.0113960579f, 0.01138866507f, 0.01137833856f, 0.01136510447f,
    0.01134899072f, 0.01133003552f, 0.01130828168f, 0.01128377859f,
    0.01125658024f, 0.01122674625f, 0.01119434182f, 0.01115943585f,
    0.01112210099f, 0.0110824164f, 0.01104046032f, 0.01099631656f,
    0.01095007174f, 0.0109018134f, 0.01085163094f, 0.01079961471f,
    0.01074585691f, 0.01069044974f, 0.01063348539f, 0.01057505608f,
    0.01051525306f, 0.01045416761f, 0.01039188914f, 0.01032850612f,
    0.01026410609f, 0.01019877382f, 0.01013259124f, 0.01006564032f,
    0.009998000227f, 0.009929747321f, 0.009860955179f, 0.009791694582f,
    0.009722034447f, 0.00965204183f, 0.009581780061f, 0.009511308745f,
    0.009440686554f, 0.009369968437f, 0.009299207479f, 0.009228453971f,
    0.009157754481f, 0.009087154642f, 0.009016696364f, 0.008946419694f,
    0.008876360953f, 0.008806557395f, 0.008737040684f, 0.008667841554f,
    0.008598989807f, 0.008530510589f, 0.008462429978f, 0.008394770324f,
    0.008327552117f, 0.008260795847f, 0.008194519207f, 0.008128738031f,
    0.008063467219f, 0.007998720743f, 0.007999744266f, 0.007999744266f,
    0.008127664216f, 0.008193968795f, 0.008260795847f, 0.008328129537f,
    0.008395953104f, 0.008464248851f, 0.008532994427f, 0.008602170274f,
    0.008671752177f, 0.008741713129f, 0.008812026121f, 0.008882662281f,
    0.008953588083f, 0.00902477093f, 0.009096172638f, 0.009167755023f,
    0.009239477105f, 0.009311294183f, 0.009383158758f, 0.009455023333f,
    0.009526834823f, 0.00959853828f, 0.009670076892f, 0.009741389193f,
    0.009812413715f, 0.009883082472f, 0.009953328408f, 0.01002307981f,
    0.01009226125f, 0.01016079728f, 0.01022860687f, 0.01029560994f,
    0.01036172081f, 0.01042685378f, 0.01049092133f, 0.01055383217f,
    0.01061549596f, 0.01067581866f, 0.01073470619f, 0.01079206541f,
    0.01084779948f, 0.0109018134f, 0.01095401309f, 0.01100430358f,
    0.01105259173f, 0.01109878626f, 0.01114279591f, 0.01118453499f,
    0.0112239169f, 0.01126086153f, 0.01129528973f, 0.01132712793f,
    0.01135630626f, 0.01138276048f, 0.01140643191f, 0.01142726559f,
    0.01144521404f, 0.01146023627f, 0.01147229597f, 0.01148136612f,
    0.0114874253f, 0.01149045862f, 0.01149045862f, 0.0114874253f,
    0.01148136612f, 0.01147229597f, 0.01146023627f, 0.01144521404f,
    0.01142726559f, 0.01140643191f, 0.01138276048f, 0.01135630626f,
    0.01132712793f, 0.01129528973f, 0.01126086153f, 0.0112239169f,
    0.01118453499f, 0.01114279591f, 0.01109878626f, 0.01105259173f,
    0.01100430358f, 0.01095401309f, 0.0109018134f, 0.01084779948f,
    0.01079206541f, 0.01073470619f, 0.01067581866f, 0.01061549596f,
    0.01055383217f, 0.01049092133f, 0.01042685378f, 0.01036172081f,
    0.01029560994f, 0.01022860687f, 0.01016079728f, 0.01009226125f,
    0.01002307981f, 0.009953328408f, 0.009883082472f, 0.009812413715f,
    0.009741389193f, 0.009670076892f, 0.00959853828f, 0.009526834823f,
    0.009455023333f, 0.009383158758f, 0.009311294183f, 0.009239477105f,
    0.009167755023f, 0.009096172638f, 0.00902477093f, 0.008953588083f,
    0.008882662281f, 0.008812026121f, 0.008741713129f, 0.008671752177f,
    0.008602170274f, 0.008532994427f, 0.008464248851f, 0.008395953104f,
    0.008328129537f, 0.008260795847f, 0.008193968795f, 0.008127664216f,
    0.008061895147f, 0.008063467219f, 0.008063991554f, 0.008063467219f,
    0.008192319423f, 0.008259668946f, 0.008327552117f, 0.008395953104f,
    0.008464855142f, 0.008534237742f, 0.008604080416f, 0.008674361743f,
    0.008745054714f, 0.008816135116f, 0.008887572214f, 0.008959336206f,
    0.009031393565f, 0.009103707969f, 0.009176243097f, 0.009248957038f,
    0.009321806021f, 0.009394746274f, 0.009467727505f, 0.009540699422f,
    0.009613607079f, 0.009686394595f, 0.009759000503f, 0.009831363335f,
    0.0099034179f, 0.009975093417f, 0.01004632004f, 0.01011702232f,
    0.0101871239f, 0.01025654469f, 0.01032520272f, 0.01039301138f,
    0.010459885f, 0.0105257323f, 0.01059046388f, 0.0106539838f,
    0.01071619987f, 0.01077701338f, 0.01083632838f, 0.01089404803f,
    0.01095007174f, 0.01100430358f, 0.01105664484f, 0.01110699773f,
    0.01115526911f, 0.01120136213f, 0.01124518644f, 0.01128665265f,
    0.01132567506f, 0.01136216894f, 0.0113960579f, 0.01142726559f,
    0.01145572308f, 0.01148136612f, 0.01150413603f, 0.01152398065f,
    0.01154085156f, 0.0115547115f, 0.01156552508f, 0.0115732681f,
    0.01157792099f, 0.0115794735f, 0.01157792099f, 0.0115732681f,
    0.01156552508f, 0.0115547115f, 0.01154085156f, 0.01152398065f,
    0.01150413603f, 0.01148136612f, 0.01145572308f, 0.01142726559f,
    0.0113960579f, 0.01136216894f, 0.01132567506f, 0.01128665265f,
    0.01124518644f, 0.01120136213f, 0.01115526911f, 0.01110699773f,
    0.01105664484f, 0.01100430358f, 0.01095007174f, 0.01089404803f,
    0.01083632838f, 0.01077701338f, 0.01071619987f, 0.0106539838f,
    0.01059046388f, 0.0105257323f, 0.010459885f, 0.01039301138f,
    0.01032520272f, 0.01025654469f, 0.0101871239f, 0.01011702232f,
    0.01004632004f, 0.009975093417f, 0.0099034179f, 0.009831363335f,
    0.009759000503f, 0.009686394595f, 0.009613607079f, 0.009540699422f,
    0.009467727505f, 0.009394746274f, 0.009321806021f, 0.009248957038f,
    0.009176243097f, 0.009103707969f, 0.009031393565f, 0.008959336206f,
    0.008887572214f, 0.008816135116f, 0.008745054714f, 0.008674361743f,
    0.008604080416f, 0.008534237742f, 0.008464855142f, 0.008395953104f,
    0.008327552117f, 0.008259668946f, 0.008192319423f, 0.008125517517f,
    0.008127664216f, 0.008128738031f, 0.008128738031f, 0.008127664216f,
    0.008257416077f, 0.008325820789f, 0.008394770324f, 0.008464248851f,
    0.008534237742f, 0.008604717441f, 0.008675667457f, 0.008747061715f,
    0.00881887693f, 0.008891084231f, 0.008963654749f, 0.009036554955f,
    0.00910975039f, 0.009183204733f, 0.009256878868f, 0.009330729023f,
    0.009404712357f, 0.00947877951f, 0.00955288019f, 0.009626962245f,
    0.009700968862f, 0.009774839506f, 0.009848512709f, 0.009921924211f,
    0.009995004162f, 0.01006768085f, 0.01013988163f, 0.01021152735f,
    0.01028253883f, 0.01035283227f, 0.0104223229f, 0.01049092133f,
    0.01055853814f, 0.01062507927f, 0.01069044974f, 0.0107545536f,
    0.01081729215f, 0.01087856572f, 0.01093827467f, 0.01099631656f,
    0.01105259173f, 0.01110699773f, 0.01115943585f, 0.01120980456f,
    0.01125800703f, 0.01130394638f, 0.01134752948f, 0.01138866507f,
    0.01142726559f, 0.01146324724f, 0.01149653178f, 0.01152704284f,
    0.0115547115f, 0.0115794735f, 0.01160127111f, 0.01162005402f,
    0.01163577568f, 0.01164839976f, 0.01165789459f, 0.0116642369f,
    0.01166741177f, 0.01166741177f, 0.0116642369f, 0.01165789459f,
    0.01164839976f, 0.01163577568f, 0.01162005402f, 0.01160127111f,
    0.0115794735f, 0.0115547115f, 0.01152704284f, 0.01149653178f,
    0.01146324724f, 0.01142726559f, 0.01138866507f, 0.01134752948f,
    0.01130394638f, 0.01125800703f, 0.01120980456f, 0.01115943585f,
    0.01110699773f, 0.01105259173f, 0.01099631656f, 0.01093827467f,
    0.01087856572f, 0.01081729215f, 0.0107545536f, 0.01069044974f,
    0.01062507927f, 0.01055853814f, 0.01049092133f, 0.0104223229f,
    0.01035283227f, 0.01028253883f, 0.01021152735f, 0.01013988163f,
    0.01006768085f, 0.009995004162f, 0.009921924211f, 0.009848512709f,
    0.009774839506f, 0.009700968862f, 0.009626962245f, 0.00955288019f,
    0.00947877951f, 0.009404712357f, 0.009330729023f, 0.009256878868f,
    0.009183204733f, 0.00910975039f, 0.009036554955f, 0.008963654749f,
    0.008891084231f, 0.00881887693f, 0.008747061715f, 0.008675667457f,
    0.008604717441f, 0.008534237742f, 0.008464248851f, 0.008394770324f,
    0.008325820789f, 0.008257416077f, 0.00818957109f, 0.008192319423f,
    0.008193968795f, 0.008194519207f, 0.008193968795f, 0.008192319423f,
    0.008322936483f, 0.008392404765f, 0.008462429978f, 0.008532994427f,
    0.008604080416f, 0.008675667457f, 0.008747731335f, 0.008820248768f,
    0.008893193677f, 0.008966536261f, 0.009040246718f, 0.009114289656f,
    0.009188630618f, 0.009263231419f, 0.009338049218f, 0.009413041174f,
    0.009488161653f, 0.009563359432f, 0.009638582356f, 0.009713775478f,
    0.009788879193f, 0.009863832965f, 0.009938570671f, 0.01001302525f,
    0.01008712593f, 0.01016079728f, 0.01023396198f, 0.01030653995f,
    0.01037844829f, 0.01044960041f, 0.01051990688f, 0.01058927551f,
    0.0106576141f, 0.01072482392f, 0.01079080813f, 0.01085546613f,
    0.01091869641f, 0.0109803956f, 0.01104046032f, 0.01109878626f,
    0.01115526911f, 0.01120980456f, 0.01126228925f, 0.01131262258f,
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    0.01252153981f, 0.01249609515f, 0.01246692892f, 0.01243411843f,
    0.01239775307f, 0.01235792786f, 0.01231474802f, 0.01226832252f,
    0.01221876871f, 0.01216620672f, 0.01211076323f, 0.01205256768f,
    0.01199175231f, 0.01192845311f, 0.01186280511f, 0.01179494616f,
    0.01172501314f, 0.01165314391f, 0.0115794735f, 0.01150413603f,
    0.01142726559f, 0.01134899072f, 0.01126943901f, 0.01118873432f,
    0.01121121366f, 0.01130394638f, 0.0113960579f, 0.0114874253f,
    0.01157792099f, 0.01166741177f, 0.01175575983f, 0.01184282266f,
    0.01192845311f, 0.01201249938f, 0.01209480781f, 0.01217522006f,
    0.01225357689f, 0.01232971624f, 0.01240347326f, 0.01247468684f,
    0.0125431912f, 0.01260882709f, 0.01267143246f, 0.01273085084f,
    0.0127869295f, 0.01283952035f, 0.01288848184f, 0.01293367799f,
    0.01297498215f, 0.01301227603f, 0.0130454516f, 0.01307440922f,
    0.01309906319f, 0.01311933808f, 0.01313517336f, 0.01314651966f,
    0.01315334067f, 0.01315561775f, 0.01315334067f, 0.01314651966f,
    0.01313517336f, 0.01311933808f, 0.01309906319f, 0.01307440922f,
    0.0130454516f, 0.01301227603f, 0.01297498215f, 0.01293367799f,
    0.01288848184f, 0.01283952035f, 0.0127869295f, 0.01273085084f,
    0.01267143246f, 0.01260882709f, 0.0125431912f, 0.01247468684f,
    0.01240347326f, 0.01232971624f, 0.01225357689f, 0.01217522006f,
    0.01209480781f, 0.01201249938f, 0.01192845311f, 0.01184282266f,
    0.01175575983f, 0.01166741177f, 0.01157792099f, 0.0114874253f,
    0.0113960579f, 0.01130394638f, 0.01121121366f, 0.01111797616f,
    0.01120136213f, 0.01128377859f, 0.01136510447f, 0.01144521404f,
    0.01152398065f, 0.01160127111f, 0.01167695317f, 0.01175088901f,
    0.01182294171f, 0.01189296879f, 0.0119608324f, 0.01202639099f,
    0.01208950393f, 0.01215003151f, 0.01220783778f, 0.01226278674f,
    0.01231474802f, 0.01236359403f, 0.01240920182f, 0.01245145593f,
    0.01249024551f, 0.01252546813f, 0.01255702879f, 0.01258483995f,
    0.01260882709f, 0.01262892038f, 0.01264506485f, 0.01265721396f,
    0.0126653323f, 0.01266939752f, 0.01266939752f, 0.0126653323f,
    0.01265721396f, 0.01264506485f, 0.01262892038f, 0.01260882709f,
    0.01258483995f, 0.01255702879f, 0.01252546813f, 0.01249024551f,
    0.01245145593f, 0.01240920182f, 0.01236359403f, 0.01231474802f,
    0.01226278674f, 0.01220783778f, 0.01215003151f, 0.01208950393f,
    0.01202639099f, 0.0119608324f, 0.01189296879f, 0.01182294171f,
    0.01175088901f, 0.01167695317f, 0.01160127111f, 0.01152398065f,
    0.01144521404f, 0.01136510447f, 0.01128377859f, 0.01120136213f,
    0.01121826563f, 0.01130972803f, 0.01140050031f, 0.01149045862f,
    0.0115794735f, 0.01166741177f, 0.0117541356f, 0.01183950249f,
    0.01192336436f, 0.01200557221f, 0.01208597142f, 0.01216440555f,
    0.01224071812f, 0.01231474802f, 0.01238633506f, 0.01245531905f,
    0.01252153981f, 0.01258483995f, 0.01264506485f, 0.01270206179f,
    0.01275568269f, 0.01280578785f, 0.01285223942f, 0.0128949089f,
    0.01293367799f, 0.01296843402f, 0.01299907733f, 0.01302551571f,
    0.01304767188f, 0.01306547876f, 0.01307888143f, 0.01308783889f,
    0.01309232507f, 0.01309232507f, 0.01308783889f, 0.01307888143f,
    0.01306547876f, 0.01304767188f, 0.01302551571f, 0.01299907733f,
    0.01296843402f, 0.01293367799f, 0.0128949089f, 0.01285223942f,
    0.01280578785f, 0.01275568269f, 0.01270206179f, 0.01264506485f,
    0.01258483995f, 0.01252153981f, 0.01245531905f, 0.01238633506f,
    0.01231474802f, 0.01224071812f, 0.01216440555f, 0.01208597142f,
    0.01200557221f, 0.01192336436f, 0.01183950249f, 0.0117541356f,
    0.01166741177f, 0.0115794735f, 0.01149045862f, 0.01140050031f,
    0.01130972803f, 0.01121826563f, 0.0111262314f, 0.01121121366f,
    0.01129528973f, 0.01137833856f, 0.01146023627f, 0.01154085156f,
    0.01162005402f, 0.01169770677f, 0.01177367195f, 0.01184780896f,
    0.01191997528f, 0.01199002843f, 0.01205782313f, 0.01212321594f,
    0.01218606345f, 0.0122462241f, 0.01230355818f, 0.01235792786f,
    0.01240920182f, 0.01245725155f, 0.01250195317f, 0.0125431912f,
    0.01258085575f, 0.01261484437f, 0.01264506485f, 0.01267143246f,
    0.01269387174f, 0.01271232124f, 0.01272672601f, 0.01273704506f,
    0.0127432486f, 0.01274531893f, 0.0127432486f, 0.01273704506f,
    0.01272672601f, 0.01271232124f, 0.01269387174f, 0.01267143246f,
    0.01264506485f, 0.01261484437f, 0.01258085575f, 0.0125431912f,
    0.01250195317f, 0.01245725155f, 0.01240920182f, 0.01235792786f,
    0.01230355818f, 0.0122462241f, 0.01218606345f, 0.01212321594f,
    0.01205782313f, 0.01199002843f, 0.01191997528f, 0.01184780896f,
    0.01177367195f, 0.01169770677f, 0.01162005402f, 0.01154085156f,
    0.01146023627f, 0.01137833856f, 0.01129528973f, 0.01121121366f,
    0.01122250315f, 0.01131262258f, 0.01140198205f, 0.01149045862f,
    0.01157792099f, 0.0116642369f, 0.01174926758f, 0.01183286961f,
    0.01191489771f, 0.01199520286f, 0.01207363233f, 0.01215003151f,
    0.01222424489f, 0.01229611505f, 0.01236548461f, 0.01243219618f,
    0.01249609515f, 0.01255702879f, 0.01261484437f, 0.01266939752f,
    0.01272054669f, 0.01276815403f, 0.01281209197f, 0.01285223942f,
    0.01288848184f, 0.01292071585f, 0.01294884924f, 0.0129727982f,
    0.01299249288f, 0.01300787181f, 0.01301889122f, 0.01302551571f,
    0.01302772667f, 0.01302551571f, 0.01301889122f, 0.01300787181f,
    0.01299249288f, 0.0129727982f, 0.01294884924f, 0.01292071585f,
    0.01288848184f, 0.01285223942f, 0.01281209197f, 0.01276815403f,
    0.01272054669f, 0.01266939752f, 0.01261484437f, 0.01255702879f,
    0.01249609515f, 0.01243219618f, 0.01236548461f, 0.01229611505f,
    0.01222424489f, 0.01215003151f, 0.01207363233f, 0.01199520286f,
    0.01191489771f, 0.01183286961f, 0.01174926758f, 0.0116642369f,
    0.01157792099f, 0.01149045862f, 0.01140198205f, 0.01131262258f,
    0.01122250315f, 0.01113174483f, 0.01121826563f, 0.01130394638f,
    0.01138866507f, 0.01147229597f, 0.0115547115f, 0.01163577568f,
    0.0117153544f, 0.0117933061f, 0.01186948828f, 0.01194375753f,
    0.01201596763f, 0.01208597142f, 0.0121536199f, 0.01221876871f,
    0.01228126884f, 0.01234097779f, 0.01239775307f, 0.01245145593f,
    0.01250195317f, 0.01254911628f, 0.01259282045f, 0.01263295114f,
    0.01266939752f, 0.01270206179f, 0.01273085084f, 0.01275568269f,
    0.01277648844f, 0.01279320568f, 0.01280578785f, 0.01281419583f,
    0.01281840634f, 0.01281840634f, 0.01281419583f, 0.01280578785f,
    0.01279320568f, 0.01277648844f, 0.01275568269f, 0.01273085084f,
    0.01270206179f, 0.01266939752f, 0.01263295114f, 0.01259282045f,
    0.01254911628f, 0.01250195317f, 0.01245145593f, 0.01239775307f,
    0.01234097779f, 0.01228126884f, 0.01221876871f, 0.0121536199f,
    0.01208597142f, 0.01201596763f, 0.01194375753f, 0.01186948828f,
    0.0117933061f, 0.0117153544f, 0.01163577568f, 0.0115547115f,
    0.01147229597f, 0.01138866507f, 0.01130394638f, 0.01121826563f,
    0.0112239169f, 0.01131262258f, 0.01140050031f, 0.0114874253f,
    0.0115732681f, 0.01165789459f, 0.011741166f, 0.01182294171f,
    0.0119030755f, 0.01198141929f, 0.01205782313f, 0.01213213522f,
    0.01220420003f, 0.01227386575f, 0.01234097779f, 0.01240538247f,
    0.01246692892f, 0.01252546813f, 0.01258085575f, 0.01263295114f,
    0.0126816174f, 0.01272672601f, 0.01276815403f, 0.01280578785f,
    0.01283952035f, 0.01286925655f, 0.0128949089f, 0.01291640475f,
    0.01293367799f, 0.01294667926f, 0.01295536757f, 0.0129597187f,
    0.0129597187f, 0.01295536757f, 0.01294667926f, 0.01293367799f,
    0.01291640475f, 0.0128949089f, 0.01286925655f, 0.01283952035f,
    0.01280578785f, 0.01276815403f, 0.01272672601f, 0.0126816174f,
    0.01263295114f, 0.01258085575f, 0.01252546813f, 0.01246692892f,
    0.01240538247f, 0.01234097779f, 0.01227386575f, 0.01220420003f,
    0.01213213522f, 0.01205782313f, 0.01198141929f, 0.0119030755f,
    0.01182294171f, 0.011741166f, 0.01165789459f, 0.0115732681f,
    0.0114874253f, 0.01140050031f, 0.01131262258f, 0.0112239169f,
    0.01113450434f, 0.01122250315f, 0.01130972803f, 0.0113960579f,
    0.01148136612f, 0.01156552508f, 0.01164839976f, 0.0117298523f,
    0.01180974208f, 0.01188792568f, 0.01196425594f, 0.01203858573f,
    0.01211076323f, 0.0121806385f, 0.0122480616f, 0.01231288072f,
    0.01237494871f, 0.01243411843f, 0.01249024551f, 0.0125431912f,
    0.01259282045f, 0.01263900381f, 0.0126816174f, 0.01272054669f,
    0.01275568269f, 0.0127869295f, 0.01281419583f, 0.01283740439f,
    0.01285648718f, 0.01287138835f, 0.01288206317f, 0.01288848184f,
    0.01289062295f, 0.01288848184f, 0.01288206317f, 0.01287138835f,
    0.01285648718f, 0.01283740439f, 0.01281419583f, 0.0127869295f,
    0.01275568269f, 0.01272054669f, 0.0126816174f, 0.01263900381f,
    0.01259282045f, 0.0125431912f, 0.01249024551f, 0.01243411843f,
    0.01237494871f, 0.01231288072f, 0.0122480616f, 0.0121806385f,
    0.01211076323f, 0.01203858573f, 0.01196425594f, 0.01188792568f,
    0.01180974208f, 0.0117298523f, 0.01164839976f, 0.01156552508f,
    0.01148136612f, 0.0113960579f, 0.01130972803f, 0.01122250315f
};

} // namespace math
} // namespace OPENVDB_VERSION_NAME
} // namespace openvdb
